Routh's Theorem
In triangle , , and are points on sides , , and , respectively. Let , , and . Let be the intersection of and , be the intersection of and , and be the intersection of and . Then, Routh's Theorem states that
Proof
Scale triangle's area down so that it becomes 1. We can then use Menelaus's Theorem on triangle and line . This means
Full proof: https://en.wikipedia.org/wiki/Routh%27s_theorem
See also
This article is a stub. Help us out by expanding it.